Of the 9002 enrolled participants, 8998 individuals completed the survey (response rate = 99.96%).
N=8998 for strategies 1 and 2; strategy 3 is estimated only among those that received a comparison risk (N=5998). We estimated the main effects of each treatment strategy on participants’ vaccine …
Coefficients are the interaction effect of the main heterogeneity characteristic with the indicator for each treatment strategy and are presented as coefficients on the log-odds scale from logistic …
We have shown the randomization here with sample sizes referring to both countries combined; in practice, we conducted this procedure stratified by country such that each cell in the diagram has …
Note that we have labeled the arms for the figure, but participants were not shown this label. Reference mortality information for motor-vehicle and COVID-19 fatalities were taken from the Centers …
United States(N=4502) | United Kingdom(N=4496) | |
---|---|---|
Gender | ||
Male | 2,216 (49.2%) | 2,236 (49.7%) |
Female | 2,205 (49.0%) | 2,216 (49.3%) |
Other | 81 (1.8%) | 44 (1.0%) |
Age | ||
18–30 | 3,090 (68.6%) | 1,859 (41.4%) |
30–45 | 1,077 (23.9%) | 1,531 (34.0%) |
45–60 | 268 (6.0%) | 776 (17.3%) |
60+ | 67 (1.5%) | 330 (7.3%) |
Education | ||
Less than secondary education | 142 (3.1%) | 498 (11.1%) |
Completed secondary education | 987 (21.9%) | 1217 (27.1%) |
Some college | 1786 (39.7%) | 1014 (22.5%) |
Bachelor’s degree | 1061 (23.6%) | 1182 (26.3%) |
More than bachelor’s degree | 526 (11.7) | 585 (13.0%) |
Race* | ||
White | 3607 (80.1%) | 3813 (84.8%) |
Black/African | 357 (7.9%) | 139 (3.1%) |
Asian | 441 (9.8%) | 316 (7.0%) |
Other | 329 (7.3%) | 190 (4.2%) |
Hispanic | 538 (11.9%) | – |
Notes: *Participants were allowed to choose multiple options if they identified as a member of multiple races. We used the race/ethnic categories used by the US Census Bureau and the UK Office for National Statistics when asking individuals to report their race and/or ethnicity.
No risk label (N=4496) | Risk label(N=4502) | p-Value | |||
---|---|---|---|---|---|
Female (n, %) | 2224 (49.5%) | 2197 (48.8%) | 0.542 | ||
Age (mean years, SD) | 31.7 (12.6) | 31.6 (12.7) | 0.623 | ||
Education (n, %) | 0.836 | ||||
Less than secondary education | 320 (7.1%) | 319 (7.1%) | |||
Completed secondary education | 1097 (24.4%) | 1107 (24.6%) | |||
Some college | 1392 (31.0%) | 1409 (31.3%) | |||
Bachelor’s degree | 1143 (25.4%) | 1100 (24.4%) | |||
More than bachelor’s degree | 544 (12.1%) | 567 (12.6%) | |||
Notes: p-Values for gender and education correspond to a chi-squared test and a two-sided t-test for age.
No comparison (N=3000) | Comparison with motor-vehicle mortality(N=3002) | Comparison with COVID-19 mortality(N=2996) | p-Value | |
---|---|---|---|---|
Female (n, %) | 1478 (49.3%) | 1452 (48.4%) | 1491 (49.8%) | 0.547 |
Age (mean years, SD) | 31.8 (12.8) | 31.4 (12.5) | 31.6 (12.7) | 0.516 |
Education (n, %) | 0.873 | |||
Less than secondary education | 210 (7.0%) | 202 (6.7%) | 227 (7.6%) | |
Completed secondary education | 717 (24.0%) | 744 (24.8%) | 743 (24.8%) | |
Some college | 931 (31.0%) | 933 (31.1%) | 937 (31.2%) | |
Bachelor’s degree | 769 (25.6%) | 753 (25.1%) | 721 (24.1%) | |
More than bachelor’s degree | 373 (12.4%) | 370 (12.3%) | 368 (12.3%) |
Notes: p-Values for gender and education correspond to a chi-square test and an ANOVA-test for age.
Absolute risk (N=2997) | Relative risk(N=3001) | p-Value | |
---|---|---|---|
Female (n, %) | 1473 (49.1%) | 1470 (49.0%) | 0.918 |
Age (mean years, SD) | 31.4 (12.4) | 31.6 (12.8) | 0.543 |
Education (n, %) | 0.897 | ||
Less than secondary education | 222 (7.4%) | 207 (6.9%) | |
Completed secondary education | 737 (24.6%) | 750 (25.0%) | |
Some college | 934 (31.2%) | 936 (31.2%) | |
Bachelor’s degree | 743 (24.8%) | 731 (24.3%) | |
More than bachelor’s degree | 361 (12.0%) | 377 (12.6%) |
Notes: p-Values for gender and education correspond to a chi-square test and a two-sided t-test for age.
Effect size(percentage points) | p-Value | |
---|---|---|
Effect of risk labeling (ref: no risk label) N=8998 | 3.0 | 0.003 |
Effect of motor-vehicle comparison (ref: no comparison) N=8998 | 2.4 | 0.049 |
Effect of both risk labeling and a motor-vehicle comparison (ref: no risk label nor comparison) N=3002 | 6.1 | <0.001 |
Notes: Outcome: ‘Would you take this vaccine?’ (yes = 1, others = 0). All the results are from logistic regression models with the results presented as average marginal effects. As per our pre-analysis plan, all regressions include covariates for age, sex, education, and country. Sample sizes for the relative to absolute comparison and effect of both labeling and a motor-vehicle mortality comparison are smaller since they are only estimated among subset of the total sample. p-Values are from two-tailed t-tests.
Logistic regression models with results presented as average marginal effects | Linear probability models | |||
---|---|---|---|---|
With covariates (main paper results) | Without covariates | With covariates | Without covariates | |
Effect of labeled risk compared to unlabeled risk | 3.0 pp (p=0.003) | 3.0 pp (p=0.003) | 3.0 pp (p=0.003) | 3.0 pp (p=0.003) |
Effect of comparison to motor-vehicle mortality compared to no comparison | 2.4 pp (p=0.049) | 2.4 pp (p=0.051) | 2.4 pp (p=0.0498) | 2.4 pp (p=0.052) |
Effect of comparison to COVID-19 mortality compared to no comparison | 0.8 pp (p=0.496) | 0.7 pp (p=0.568) | 0.8 pp (p=0.497) | 0.7 pp (p=0.571) |
Effect of relative comparison compared to absolute comparison | 1.3 pp (p=0.285) | 1.3 pp (p=0.277) | 1.3 pp (p=0.286) | 1.3 pp (p=0.277) |
Effect of both risk labeling and a motor-vehicle comparison compared to no labeling or comparison | 6.1 pp (p<0.001) | 6.1 pp (p<0.001) | 6.1 pp (p<0.001) | 6.1 pp (p<0.001) |
Notes: Outcome: ‘Would you take this vaccine?’ (yes = 1, others = 0). As per our pre-analysis plan, covariates include age, sex, education, and country. Sample sizes for the relative to absolute comparison (N=5998) and effect of both labeling and a motor-vehicle mortality comparison (N=3002) are smaller since they are only estimated among subset of the total sample.
Odds ratio (p-value) | |
---|---|
Effect of labeled risk compared to unlabeled risk | 1.15 (p=0.002) |
Effect of comparison to motor-vehicle mortality compared to no comparison | 1.11 (p=0.050) |
Effect of comparison to COVID-19 mortality compared to no comparison | 1.03 (p=0.541) |
Effect of relative comparison compared to absolute comparison | 1.05 (p=0.327) |
Effect of both risk labeling and a motor-vehicle comparison compared to no labeling or comparison | 1.31 (p<0.001) |
Note. Outcome: ‘Would you take this vaccine?’ (No, Unsure – leaning towards no, Unsure – leaning towards yes, Yes). As per the main paper results and pre-analysis plan, all regressions include controls for age, sex, country, and education. Sample sizes for the relative to absolute comparison (N=5998) and effect of both labeling and a motor-vehicle mortality comparison (N=3002) are smaller since they are only estimated among subset of the total sample.